ouroboros-pasterski-research-program / references /run_sabrina_soft_charge_cumulant_hierarchy.json
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"arxiv_id": "2512.02825",
"title": "Memory Correlators and Ward Identities in the 'in-in' Formalism"
},
"result_version": "sabrina_soft_charge_cumulant_hierarchy_v1",
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"status": "complete",
"theorem": {
"deterministic_shift": "incoming hard-charge eigenvalues do not affect connected cumulants of order n>=2",
"factorized_reduction": "if every mixed hard-outgoing/soft-incoming cumulant vanishes, kappa_n(S^+)=(-1)^n kappa_n(H^+)+kappa_n(S^-)",
"full_hierarchy": "for n>=2, kappa(S_1^+,...,S_n^+) is the sum over A subset [n] of (-1)^|A| kappa(H_A^+,S_[n]\\A^-)",
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